Finding the Third Proportional to 21,138.75 and 31,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,138.75 : 31,792.50 = 31,792.50 : x
2. Step 2: Convert to fraction form
   21,138.75/31,792.50 = 31,792.50/x
3. Step 3: Cross multiply
   21,138.75x = 31,792.50 × 31,792.50
4. Step 4: Simplify right side
   21,138.75x = 1,010,763,056.25
5. Step 5: Solve for x
   x = 1,010,763,056.25/21,138.75
6. Step 6: Final answer
   x = 47,815.65